A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations

B. Achchab; M. El Fatini; A. Ern; A. Souissi

doi:10.1016/j.aml.2008.12.006

A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations

B. Achchab
, M. El Fatini
, A. Ern
, A. Souissi

Université Hassan 1er
Université Hassan II
Faculté des Sciences Rabat
Ecole Mohammadia d'Ingénieurs

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We derive a posteriori error estimates for subgrid viscosity stabilized finite element approximations of convection-diffusion equations in the high Péclet number regime. Two estimators are analyzed: an asymptotically robust one and a fully robust one with respect to the Péclet number. Numerical results on test cases with boundary layers or internal layers show that the asymptotically robust estimator can be used to construct adaptive meshes.

langue originale	Anglais
Pages (de - à)	1418-1424
Nombre de pages	7
journal	Applied Mathematics Letters
Volume	22
Numéro de publication	9
Les DOIs	https://doi.org/10.1016/j.aml.2008.12.006
état	Publié - 1 janv. 2009

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10.1016/j.aml.2008.12.006

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title = "A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations",

abstract = "We derive a posteriori error estimates for subgrid viscosity stabilized finite element approximations of convection-diffusion equations in the high P{\'e}clet number regime. Two estimators are analyzed: an asymptotically robust one and a fully robust one with respect to the P{\'e}clet number. Numerical results on test cases with boundary layers or internal layers show that the asymptotically robust estimator can be used to construct adaptive meshes.",

keywords = "A posteriori error estimates, Advection-diffusion, Finite elements, High P{\'e}clet number regime, Subgrid viscosity",

author = "B. Achchab and \{El Fatini\}, M. and A. Ern and A. Souissi",

year = "2009",

month = jan,

day = "1",

doi = "10.1016/j.aml.2008.12.006",

language = "English",

volume = "22",

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journal = "Applied Mathematics Letters",

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T1 - A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations

AU - Achchab, B.

AU - El Fatini, M.

AU - Ern, A.

AU - Souissi, A.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - We derive a posteriori error estimates for subgrid viscosity stabilized finite element approximations of convection-diffusion equations in the high Péclet number regime. Two estimators are analyzed: an asymptotically robust one and a fully robust one with respect to the Péclet number. Numerical results on test cases with boundary layers or internal layers show that the asymptotically robust estimator can be used to construct adaptive meshes.

AB - We derive a posteriori error estimates for subgrid viscosity stabilized finite element approximations of convection-diffusion equations in the high Péclet number regime. Two estimators are analyzed: an asymptotically robust one and a fully robust one with respect to the Péclet number. Numerical results on test cases with boundary layers or internal layers show that the asymptotically robust estimator can be used to construct adaptive meshes.

KW - A posteriori error estimates

KW - Advection-diffusion

KW - Finite elements

KW - High Péclet number regime

KW - Subgrid viscosity

UR - https://www.scopus.com/pages/publications/67349278063

U2 - 10.1016/j.aml.2008.12.006

DO - 10.1016/j.aml.2008.12.006

M3 - Article

AN - SCOPUS:67349278063

SN - 0893-9659

VL - 22

SP - 1418

EP - 1424

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 9

ER -

A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations

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